Concerning Banach spaces whose duals are abstract L-spaces

Jonnie Bee Bednar and Howard E. Lacey

Vol. 41 (1972), No. 1, 13–24

DOI: 10.2140/pjm.1972.41.13

Abstract

The purpose of this paper is to give general methods for constructing Banach spaces whose duals are linearly isometric to abstract L spaces. These methods are based on annihilating certain subspaces of the duals of certain Banach spaces and in the existence of “affine” maps from a compact Hausdorff space X to the space of regular Borel measures on X.

Mathematical Subject Classification 2000

Primary: 46B10

Secondary: 46E15

Milestones

Received: 11 February 1971

Revised: 11 June 1971

Published: 1 April 1972